THE
NUMBER
SENSE
How The Mind Creates Mathematics 
Stanislas Dehaene
Contents
Preface
Introduction
Part I. Our Numerical Heritage

Chapter 1. Talented and Gifted Animals

A Horse Named Hans
Rat Accountants
How Abstract Are Animal Calculations?
The Accumulator Metaphor
NumberDetecting Neurons?
Fuzzy Counting
The Limits of Animal Mathematics
From Animal to Human

Chapter 2. Babies Who Count

Baby Building: Piaget's Theory
Piaget's Errors
Younger and Younger
Babies' Power of Abstraction
How Much Is 1 plus 1?
The Limits of Infant Arithmetic
Nature, Nurture, and Number

Chapter 3. The Adult Number Line

1, 2, 3, and Beyond
Approximating Large Numbers
The Quantity Behind the Symbols
The Mental Compression of Large Numbers
Reflexive Access to Number Meaning
A Sense of Space
Do Numbers Have Colors?
Intuitions of Number
Part II. Beyond Approximation

Chapter 4. The Language of Numbers

A Short History of Number
Keeping a Permanent Trace of Numerals
The Place  Value Principle
An Exuberant Diversity of Number Languages
The Cost of Speaking English
Learning to Label Quantities
Round Numbers, Sharp Numbers
Why Are Some Numerals More Frequent Than Others?
Cerebral Constraints on Cultural Evolution

Chapter 5. Small Heads for Big Calculations

Counting: The ABC of Calculation
Preschoolers as Algorithm Designers
Memory Appears on the Scene
The Multiplication Table: An Unnatural Practice?
Verbal Memory to the Rescue
Mental Bugs
Pros and Cons of the Electronic Calculator
Innumeracy: Clear and Present Danger?
Teaching Number Sense

Chapter 6. Geniuses and Prodigies

A Numerical Bestiary
The Landscape of Numbers
Phrenology and the Search for Biological Bases of Genius
Is Mathematical Talent a Biological Gift?
When Passion Produces Talent
Ordinary Parameters for Extraordinary Calculators
Recipes for Lightning Calculation
Talent and Mathematical Invention
Part III. Of Neurons and Numbers

Chapter 7. Losing Number Sense

Mr. N, the Approximate Man
A ClearCut Deficit
A Champion in Numerical Nonsense
Inferior Parietal Cortex and the Number Sense
Seizures Induced by Mathematics
The Multiple Meanings of Numbers
The Brain's Numerical Information Highways
Who Orchestrates the Brain's Computations?
At the Origins of Cerebral Specialization

Chapter 8. The Computing Brain

Does Mental Calculation Increase Brain Metabolism?
The Principle of Positron Emission Tomography
Can One Localize Mathematical Thought?
When the Brain Multiplies or Compares
The Limits of Positron Emission Tomography
The Brain Electric
The Time Line of the Number Line
Understanding the Word "Eighteen"
Numerate Neurons

Chapter 9. What Is a Number?

Is the Brain a Logical Machine?
Analog Computations in the Brain
When Intuition Outruns Axioms
Platonists, Formalists, and Intuitionists
The Construction and Selection of Mathematics
The Unreasonable Effectiveness of Mathematics
Notes and References
Index
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Copyright © 19962017 Alexander Bogomolny
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